This project is pretty involved, but it has incredible potential. Basically, you attach two metal towel rods lengthwise across the front and back of your drawers, then bend some thinner rods at the ends to wrap over them. If your drawers are deep enough, you'll be able to drape your shirts over the rods to essentially hang them inside your dresser, no folding required. Ikea Hackers has the complete guide (though there's nothing Ikea-specific in this project), so hit up the source link for more info.